Respuesta :

ignoring everything but the z's (because we can) we're left with [tex] \frac{z}{ z^{4} } [/tex] , which simplifies to [tex] z^{-3} [/tex] , so -3

Answer:

[tex]-9z^{-3}[/tex] that is exponent on the variable z is [tex]-3[/tex].

Step-by-step explanation:

The given equation is:

[tex]\frac{27x^2z}{-3x^2z^4}[/tex]

Simplifying the above equation by simplifying the exponents and the powers, we get

=[tex]\frac{-9z}{z^4}[/tex]

=[tex]-9z^{-3}[/tex]

Therefore, the exponent on the variable z is [tex]-3[/tex].